Draw vector diagrams based on the given scenarios, and solve the problems involving vectors. a) Karina travels 5 miles at a bearing of 30° east of north to get to the supermarket. She then travels 10
miles 15° south of east to go to Anissa's house. How far away and in what direction is Karina's house
from Anissa's house? Draw a diagram and show your work to justify your answer. Round the distance
to the nearest hundredth and the direction to the nearest degree. (5 points)

If you have the following equation, 2/3x+5/6-x=2-3/4x what would you multiply each term by to get rid of all the fractions

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

Using inductive reasoning, what are the next two number in this set? 2,3/2,4/3,5/4,